Morphon vs MONKIRI

Sixty-three simulations from real physics, chemistry, and mathematics — running entirely on your device's GPU. Touch them. Pinch into a Mandelbrot set. Inject a vortex. Drag a magnet and watch a fractal basin re-paint. Drop pebbles into a pool and watch the waves bounce off the walls. Nothing is pre-recorded; everything you see is computed from the underlying equations as you watch. WHAT'S INSIDE • Fractals — Mandelbrot, Julia, Burning Ship, Newton, IFS chaos game, and ten construction fractals (Koch snowflake, Hilbert curve, Apollonian gasket, and more) that build up one iteration per second • Cellular Automata — Conway's Game of Life, Lenia, Brian's Brain, Forest Fire, neural CA • Reaction-Diffusion — Gray-Scott, Belousov-Zhabotinsky, Turing morphogenesis (square + hex lattice) • Fluid Dynamics — incompressible Stable Fluids, shallow water, Kelvin-Helmholtz instability with optional vortex shedding past a cylinder, non-Newtonian oobleck • Wave Phenomena — Chladni plates, Faraday waves, cymatics, animated underwater caustics • Chaos — Lorenz / Rössler / Halvorsen attractors, magnetic-pendulum fractal basins, Hénon-Heiles • Phase Transitions — Ising, XY-model, Potts, Kuramoto oscillators, percolation, bubble foam coarsening • Field & Flow — Perlin noise, curl-noise, flow fields, paint-your-own velocity fields • Growth — crystal nucleation, L-systems, real DBM Lichtenberg lightning, differential growth • Collective Behaviour — slime-mould Physarum, Boids flocking • Plus granular sand, cloth, sandpiles, Schelling segregation, small-world networks, and more INTERACTION Every simulation responds to touch in a way that's specific to it. Drag to inject dye into a fluid; pinch to zoom into a fractal; flip spins in the Ising model; drag the magnets in the Magnetic Pendulum and watch the basin re-paint. Multi-touch is supported throughout. KEEP YOUR ART Save stills (PNG) and short loops (MP4) directly to Photos, share to social, or just sit back and watch. Six color palettes including viridis, magma, plasma, and turbo apply across every simulation. NO ACCOUNTS, NO ADS, NO TRACKING Morphon collects no data, runs no analytics, and connects to no servers. Whatever you make stays on your device. UNIVERSAL & OPTIMISED Built for iPhone and iPad. Targets 60 fps on every supported device with thermal-aware downshift on older hardware. Pencil-aware on iPad: pressure and tilt drive simulation parameters where it makes sense. Open it. Touch it. The math does the rest.

In Edo-period Japan, people loved a simple pastime called monkiri asobi, the art of the cut crest. Fold a sheet of paper, cut along a template, and gently open it. A beautiful pattern appears on the paper, and until it unfolds, no one knows exactly what it will look like. That small moment of surprise and delight was the heart of the game. MONKIRI brings that spirit of play to your fingertips. Every tap of the generate button reveals a new traditional Japanese pattern, dressed in harmonious palettes drawn from Japan's traditional colors. Keep the ones you love as wallpapers, or fine-tune every detail yourself. WHAT YOU CAN DO - Generate: Pick a pattern and tap. MONKIRI randomizes each design within carefully tuned traditional color harmonies, so every result comes out beautiful. - Adjust: Fine-tune colors, scale, line width, spacing and density, rotation, and background color with sliders. Changes preview instantly. - Collect: Save your favorite creations, then re-edit, duplicate, or delete them anytime. - Export: Save wallpapers as PNG, sized for your device's screen with one tap. TWELVE TRADITIONAL PATTERNS Each pattern comes with a short note on its meaning and history, in both English and Japanese. - Asanoha (hemp leaf): healthy growth and protection - Seigaiha (blue ocean waves): endless calm waves, a wish for eternal peace - Shippo (seven treasures): interlocking circles of harmony and good relations - Kikko (tortoise shell): hexagons of longevity - Ichimatsu (checkerboard): unbroken prosperity - Yagasuri (arrow feathers): an arrow released never returns, a symbol of moving forward - Uroko (fish scales): triangles believed to ward off misfortune - Tatewaku (rising steam): swelling lines of rising fortune - Sayagata (interlocking manji): continuity without end - Kagome (basket weave): six-pointed stars, a traditional charm against evil - Sankuzushi (scattered rods): a chic pattern of shifting lines - Ajiro (wickerwork): the warm texture of woven cypress and bamboo FREE FEATURES AND ONE-TIME PURCHASE Everything above is free: generate, adjust, and save every pattern, and export standard-size wallpaper PNGs (with a light watermark). Wallpaper size optimization is free as well. A single one-time purchase unlocks: - Watermark-free export - Ultra-high-resolution PNG (4096 x 4096), large enough for print - SVG (vector) export that scales without any loss, for design and print work - Seamless tile PNG whose edges connect perfectly, for repeating backgrounds No subscription. No further purchases. MADE TO BE TRUSTED - No ads, no tracking - No account required - Works completely offline (iCloud sync is optional) - English and Japanese, following your device settings or switchable in the app - Dark mode support - Designed for both iPhone and iPad The quiet thrill of a pattern emerging from a folded sheet of paper, now in your pocket. Enjoy the beauty of Japanese patterns with MONKIRI.